Cups per second to Cubic yards per hour conversion

How to convert cups per second to cubic yards per hour?

Certainly! To convert 1 cup per second (cps) to cubic yards per hour (cuyd/hr), let's break down the conversion step-by-step.

Step 1: Understanding the Conversion Factors

• 1 cup (US) = 0.00052219 cubic yards
• 1 hour = 3600 seconds

Step 2: Convert Cups to Cubic Yards

1 cup per second (cps) needs to be converted to cubic yards per second (cuyd/s): $1 \, \text{cup} = 0.00052219 \, \text{cubic yards}$

So, $1 \, \text{cup/second} \times 0.00052219 \, \text{cubic yards/cup} = 0.00052219 \, \text{cubic yards/second}$

Step 3: Convert Seconds to Hours

There are 3600 seconds in an hour, so: $0.00052219 \, \text{cubic yards/second} \times 3600 \, \text{seconds/hour} = 1.879884 \, \text{cubic yards/hour}$

Thus, $1 \, \text{cup/second} = 1.879884 \, \text{cubic yards/hour}$

Real World Examples:

Let's look at some other quantities of cups per second and convert them to cubic yards per hour.

Example 1: 2 Cups per second

$2 \, \text{cups/second} \times 1.879884 \, \text{cubic yards/hour} = 3.759768 \, \text{cubic yards/hour}$

Example 2: 0.5 Cups per second

$0.5 \, \text{cups/second} \times 1.879884 \, \text{cubic yards/hour} = 0.939942 \, \text{cubic yards/hour}$

Example 3: 10 Cups per second

$10 \, \text{cups/second} \times 1.879884 \, \text{cubic yards/hour} = 18.79884 \, \text{cubic yards/hour}$

Contextual Examples:

• In industry: A factory might need to process a liquid chemical at a rate of 5 cups per second. Converting this to cubic yards per hour, you get $5 \times 1.879884 \approx 9.39942 \, \text{cubic yards/hour}$.
• In agriculture: An irrigation system distributing water at the rate of 0.25 cups per second will be distributing $0.25 \times 1.879884 \approx 0.469971 \, \text{cubic yards/hour}$.

These conversions help to provide a scale to better understand flow rates in terms of different units, ensuring industrial systems and processes can be properly managed and measured.